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3 years ago

Complete the point-slope equation of the line through ( 1, 10) and (5.2).

Mathematics

1 answer:

forsale [732]3 years ago

3 0

Answer:

y = -2x + 12

Step-by-step explanation:

The point-slope equation for a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept(value of y when x = 0).

(1,10)

This means that when x = 1, y = 10. So

10 = m + b

(5,2)

This means that when x = 5, y = 2. So

2 = 5m + b

From the first equation, b = 10 - m. So

2 = 5m + 10 - m

2 = 4m + 10

4m = -8

m = -2

And

b = 10 - m = 10 - (-2) = 10 + 2 = 12

y = -2x + 12

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Calculate the mean given the frequency table

DaniilM [7]

Answer:

~15.55 is the mean.

Step-by-step explanation:

The class of frequency is given as 0-9, 10-19 and 20-29.

First of all, let us taken middle value of class:

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$\dfrac{10+9}{2} = 14.5$

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Formula for mean:

$\text{Mean = } \dfrac{\sum (m \times f)}{\sum f}$

where f is the frequency

and m is the mean value calculated in above step (4.5, 14.5 and 24.5)

The frequencies are given as:

4.5 - 24

14.5 - 20

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Putting the values in above formula:

$Mean = \dfrac{4.5\times 24+14.5\times 20 +24.5\times 32}{24+20+32}\\\Rightarrow \dfrac{108+290+784}{76}\\\Rightarrow \dfrac{1182}{76} \\\Rightarrow 15.55$

Please refer to the attached image that contains the table for calculation of mean.

So, mean = ~15.55

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padilas [110]

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Mademuasel [1]

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Step-by-step explanation:

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